Atkin-Lehner |
5- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825w |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-24058221138875 = -1 · 53 · 72 · 115 · 293 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ 11- -3 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2238,240228] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:-508:1] [-214:4231:8] |
Generators of the group modulo torsion |
j |
-9921743286272/192465769111 |
j-invariant |
L |
4.0890364738041 |
L(r)(E,1)/r! |
Ω |
0.56697323870858 |
Real period |
R |
0.12020074889612 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55825ba1 |
Quadratic twists by: 5 |